If A = {1,2,3,4}, how many members of P(A) are subsets of {1,2,3} but not supersets of {1}?
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Answer and explanation
Correct answer: 4
A subset of {1,2,3} can use only the elements 1, 2, and 3; element 4 is not allowed. Being not a superset of {1} means that the subset must not contain 1. Therefore only 2 and 3 are available, and each may be chosen or omitted independently. The four subsets are ∅, {2}, {3}, and {2,3}.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
A subset of {1,2,3} can use only the elements 1, 2, and 3; element 4 is not allowed. Being not a superset of {1} means that the subset must not contain 1. Therefore only 2 and 3 are available, and each may be chosen or omitted independently. The four subsets are ∅, {2}, {3}, and {2,3}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
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